Monica Vazirani CURRICULUM VITAE Monica Vazirani cell phone: (510) 364-2486 Department of Mathematics office phone: (530) 554-2596 UC Davis fax: (530) 752-6635 One Shields Ave [email protected] Davis, CA 95616-8633 http://www.math.ucdavis.edu/~vazirani USA citizenship: USA Education A.B. Harvard, May 1993, supervised by Nantel Bergeron; Summa Cum Laude with highest honors in Mathematics Ph.D. University of California (UC) Berkeley, May 1999, supervised by I. Grojnowski and T.Y. Lam Academic Positions National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, host in- stitutions: UC Berkeley, Fall 2000, 2001-2002; UC San Diego, Fall 1999, Spring 2001 Mathematical Sciences Research Institute (MSRI) Postdoc, Spring 2000 California Institute of Technology, Olga Taussky-John Todd Instructor in Mathematics, 2002-2003 Visiting position: MSRI member, Berkeley, California, Winter 2008 University of California Davis Department of Mathematics, Associate Professor, July 2006-present; Assistant Professor, July 2002-2006 (on leave 2002-2003) Research Interests Combinatorial representation theory, , Hecke algebras, crystal graphs, quantum groups, Khovanov- Lauda-Rouquier algebras, categorification Academic Honors and Grants John Harvard Scholarship for Academic Achievement, 1990{93 TRW Space & Technology Group Affirmative Action Scholar, 1991 National Science Foundation Incentives for Excellence Scholarship Prize, 1992 Phi Beta Kappa, 1993 Eugene Cota-Robles Fellowship, 1993{94 National Science Foundation Graduate Fellowship in Mathematics, 1994{98 National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, host in- stitution: UC San Diego, Fall 1999, Spring 2001; UC Berkeley, Fall 2000, 2001{2002 National Science Foundation Research Grant DMS{0301320 (2003-2006) UC Davis Faculty Development Program Award, 2005{2006 National Security Agency grant H98230-07-1-0021; \Formal Power Series and Algebraic Combi- natorics: An International Combinatorics Conference," 2006-2007 (FPSAC) co-PI: NSF EMSW21 grant VIGRE, 2008-2013 lead PI: NSF grant DMS - 0752864: Graduate Student Combinatorics Conference, 2007-2008 co-PI: grant from DE Shaw for Graduate Student Combinatorics Conference, 2007-2008 1 National Security Agency grant H98230-09-1-0076, Combinatorial Representation Theory of Affine and Double Affine Hecke Algebras 2008-2010 co-PI: NSF grant DMS - 0905981: Algebra and Topology in Interaction conference 2009 nominee for the 7th annual ASUCD Excellence in Education Awards, 2009 lead PI: NSF grant DMS-1101740: Algebraic Combinatorixx conference 2011 National Security Agency grant award 201016651, Combinatorics of Categorification, 2011-2013 Publications (available at http://www.math.ucdavis.edu/~vazirani/publications.html) 1. (with I. Grojnowski) Strong multiplicity one theorem for affine Hecke algebras of type A, Transformation Groups 6 (2001), no. 2, 143-155. 2. Parameterizing Affine Hecke Algebra Modules: Bernstein-Zelevinsky Multisegments, Kleshchev Multipartitions, and Crystal Graphs, Transformation Groups 7 (2002), no. 3, 267-303. 3. Filtrations on the Mackey Decomposition for Cyclotomic Hecke Algebras, Journal of Algebra 252 (2002), no. 2, 205-227. 4. Irreducibility of affine Hecke algebra modules induced from Specht modules, Recent Develop- ments in Infinite-Dimensional Lie Algebras and Conformal Field Theory CONM 297 Amer. Math. Soc., Providence, RI, 2002. 5. (with Edward Formanek, Woo Lee, Inna Sysoeva) The Irreducible Complex Representations of the Braid Group on n Strings of Degree ≤ n, Journal of Algebra and its Applications 2 (2003), no. 3, 317-333. 6. Extending Frobenius' higher characters. Sci. Math. Jpn. 58 (2003), no. 1, 169-182. 7. (with M. Grigni, L. Schulman, and U. Vazirani) Quantum Mechanical Algorithms for the Nonabelian Hidden Subgroup Problem, Combinatorica 24 (2004), no. 1, 137{154. First appeared in Proceedings of the 33'rd STOC (ACM Symposium on Theory of Computing), 2001. 8. (with T. Suzuki) Tableaux on periodic skew diagrams and irreducible representations of the double affine Hecke algebra of type A, IMRN 27 (2005) 1621-1656. 9. (with E. Rains) Vanishing Integrals of Macdonald and Koornwinder polynomials. Transfor- mation Groups 12 (2007), no. 4, 725-759. 10. An observation on highest weight crystals. Journal of Algebra 315 (2007), 483-501. 11. (with C. Berg) (`; 0)-Carter partitions, their crystal-theoretic behavior and generating func- tion. Electron. J. Combin. 15 (2008), no. 1, Research Paper 130, 23 pp 12. (with C. Berg, B. Jones) A bijection on core partitions and a parabolic quotient of the affine symmetric group Journal of Combinatorial Theory, Series A, 116 (2009), no. 8, 1344-1360. 13. (with S. Fishel) A bijection between dominant Shi regions and core partitions. European Journal of Combinatorics 31 (2010) pp. 2087-2101 14. (with S. Fishel) A bijection between (bounded) dominant Shi regions and core partitions. Discrete Math. Theor. Comput. Sci. Proceedings, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) pp. 283-294. 15. (with A. Lauda) Crystals from categorified quantum groups. Discrete Math. Theor. Com- put. Sci. Proceedings, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010) pp. 869-880. 16. (with A. Lauda) Crystals from categorified quantum groups. Advances in Mathematics 228, (2011) pp. 803-861 arXiv:0909.1810 17. (with S. Fishel, E. Tzanaki) Counting Shi regions with a fixed separating wall, Proceedings for FPSAC 2011 http://combinatorics.is/proceedings/dmAO0132.pdf 2 Papers in Preparation 18. (with E. Rains) Deformations of permutation representations of Coxeter groups arXiv:1008.1037 Selected Talks UC Santa Barbara Algebra Colloquium, November 1997 AMS/Australian Mathematical Society joint meeting in Melbourne, July 1999 University of Sydney Algebra Seminar, July 1999 CMA National Research Symposium on Algebraic Geometry and Applications, The Australian National University, July 1999 UC San Diego Quantum Groups and Hecke Algebras Seminar, October 1999 MIT Combinatorics Seminar, March 2000 UC Berkeley Combinatorics Seminar, May 2000 Infinite-Dimensional Lie Theory and Conformal Field Theory, University of Virginia, Char- lottesville, VA, May 2000 UC Riverside Algebra Seminar, May 2000 MSRI Algebra Seminar, May 2000 University of Oregon Algebra Seminar, July 2000 AMS Special Session on Quantum Algebra, San Francisco, CA, October 2000 UC Berkeley Mathematics Department Colloquium, October 2000 University of Illinois, Chicago Colloquium, April 2001 University of Chicago Algebra Seminar, April 2001 University of Wisconsin, Milwaukee Colloquium, April 2001 University of Wisconsin, Madison Lie Algebras Seminar, May 2001 CBMS Conference on Algebraic Combinatorics, North Carolina State University, Raleigh, NC, June 2001 14th Latin American Algebra Colloquium, Argentina, August 2001 Representations of Loop Groups workshop, IPAM program on Conformal Field Theory and Ap- plications, November 2001 AMS Special Session on Algebraic Combinatorics, San Diego, CA January 2002 Bay Area Discrete Math Day, Stanford University, March 2002 Stanford Representation Theory Seminar, April 2002 Kyoto University, Infinite Analysis Seminar, Japan, June 2002 AMS Special Session on Lie Algebras and Related Topics, Wisconsin, October 2002 Idaho State University Math Department Colloquium, November, 2002 Darstellungen endlicher Gruppen, Oberwolfach, Germany, March 2003 Moduli spaces, Lie Theory and their Interaction with Physics, Rome, Italy, April 2003 Caltech Combinatorics Seminar, April 2003 Southern California Algebra Conference, UCLA, April 2003 Moduli spaces, Lie Theory and their Interaction with Physics, Cortona Workshop, Italy, June 2003 UC Davis Discrete Math and Representation Theory Seminar, October 2003 Representations of Algebraic Groups, Quantum Groups, and Lie Algebras, Snowbird, Utah, July 2004 University of Washington Combinatorics and Geometry Seminar, April 2005 3 UC Davis Discrete Math and Representation Theory Seminar, May 2005 Stanford Representation Theory Seminar, May 2005 Lie algebras, Vertex operator algebras and their applications, NCSU, May 2005 Workshop on Representation Theory and Geometry, Berkeley, May 2005 Formal Power Series and Algebraic Combinatorics (FPSAC), Italy, June 2005 Representation Theory, Geometry and Combinatorics Seminar, Berkeley, October 2005 AMS special session on Noncommutative Algebra and Noncommutative Birational Geometry, Oregon, Nov 2005 AMS special session on Representations of groups and algebras, Oregon, Nov 2005 Algebra-Geometry-Combinatorics Seminar, SFSU, Nov 2005 Representation Theory Seminar, University of Utah, April 2006 NSF/CBMS Regional Conference on Cluster Algebras and Applications, NCSU, June 2006 Combinatorics Seminar, UC Berkeley, September 2006 AMS special session on Combinatorial Representation Theory, Arkansas, November 2006 AMS special session on Geometric and Combinatorial Methods in Representation Theory, NC, March 2007 University of Washington Combinatorics Seminar, Seattle, WA, April 2007 AMS Special Session on Algebraic Combinatorics, AZ, April 2007 Combinatorial Hopf Algebras and Macdonald Polynomials, Centre de recherches math´ematiques (CRM), Montreal, Canada, May 2007 Interactions between Algebraic Combinatorics and Algebraic Geometry, weeklong minicourse, Centre de recherches math´ematiques(CRM), Montreal, Canada, May 2007 Cherednik Algebras, Edinburgh, United Kingdom, June 2007 Algebraic and Geometric Lie Theory (AGLT)